The number of integers solutions for the equation `x+y+z+t=20`, where x,y,z t are all `le-1`, is

The number of integers solutions for the equation x+y+z+t=20 , where x,y,z t are all ge-1 , is

The number of integers solutions for the equation x+y+z+t=20 , where x,y,z t are all ge-1 , is

Find the number of solutions of the equation x + y + z = 6, where x, y, z, in W.

Find the number of solutions of the equation x+y+z=6 , where x, y, z in W

The number of nonnegative integer solutions of the equation x+y+z+5t=15 is

The number of nonnegative integer solutions of the equation x+y+z+5t = 15 is

The number of integral solutions of equation x+y+z+t=29, when x>=1,y>=2,z>=2,3 and t>=0 is

The number of integral solutions of equation x+y+z+t=29, when x >= 1, y >= 2, z>= 3 and t >= 0 is

Find the number of positive integeral solution of the inequation x+y+z >=150, where 0 , x le 60, 0 < y le 60, 0 < z le 60.